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Finding the Fourth Proportional to 12,211.20, 18,304 and 5,641.69

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Solution

The fourth proportional to 12,211.20, 18,304 and 5,641.69 is: 8,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.20 : 18,304 = 5,641.69 : x
  2. Step 2: Convert to fraction form
    12,211.20/18,304 = 5,641.69/x
  3. Step 3: Cross multiply
    12,211.20x = 18,304 × 5,641.69
  4. Step 4: Simplify right side
    12,211.20x = 103,265,493.76
  5. Step 5: Solve for x
    x = 103,265,493.76/12,211.20
  6. Step 6: Final answer
    x = 8,456.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.